Time and Work Questions

FACTS  AND  FORMULAE  FOR  TIME  AND  WORK  QUESTIONS

 

 

1. If A can do a piece of work in n days, then A's 1 day's work =1n

2. If A’s 1 day's work =1n, then A can finish the work in n days.

 

3. A is thrice as good a workman as B, then:

Ratio of work done by A and B = 3 : 1.

Ratio of times taken by A and B to finish a work = 1 : 3.

 

NOTE : 

Efficiency1No of time units

 

 Efficiency × Time = Constant Work

 

Hence, Required time = WorkEfficiency

 

Whole work is always considered as 1, in terms of fraction and 100% , in terms of percentage.

In general, number of day's or hours = 100Efficiency

Q:

Raja and Kundan together can build a wall in 20 days, Kundan and Mahesh build the same wall in 30 days and Mahesh and Raja can build the same wall in 24 days. In how many days can all the three complete the same wall while working together?

A) 18 B) 16
C) 20 D) 14
 
Answer & Explanation Answer: B) 16

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Q:

A and B together do a job in 12 days and A could do the job in 20 days if he worked alone. How many days would B take to do the job if he worked alone?

A) 30 B) 25
C) 24 D) 15
 
Answer & Explanation Answer: A) 30

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Q:

Manoj can do a piece of work in 42 hours. If he is joined by Jayashree who is 100% more efficient, in what time they will finish the work together?

A) 7 hours B) 3.5 hours
C) 14 hours D) 2.5 hours
 
Answer & Explanation Answer: C) 14 hours

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Q:

A can finish a work in 7 days . B can finish the same work in 9 days . The days required to finish the work by both of them together.

A) 31/16 B) 47/16
C) 63/16 D) 79/16
 
Answer & Explanation Answer: C) 63/16

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Q:

A, B and C can finish a job working alone in 12, 8 and 24 days respectively. In how many days they can finish the job if they worked together?

A) 5 B) 6
C) 4 D) 3
 
Answer & Explanation Answer: C) 4

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Q:

X and Y undertook to do a piece of work for Rs 5400. X alone could do this work in 18 days and Y alone could do this work in 24 days. With the assistance of Z they finished the work in 8 days. What is the share (in Rs) of Z?

 

A) 1200 B) 1500
C) 1600 D) 1800
 
Answer & Explanation Answer: A) 1200

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Q:

Prahlad has done 1/3rd of a job in 30 days, Sarfaraz completes the rest of the job in 90 days. In how many days can they together do the job?

A) 27 days B) 18 days
C) 54 days D) 36 days
 
Answer & Explanation Answer: C) 54 days

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Q:

A work can be completed by 28 women in 36 days. If 4 women leave after working for 18 days, then how many days will be needed to complete the remaining work?

A) 24 B) 21
C) 27 D) 25
 
Answer & Explanation Answer: B) 21

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